Worst case scenario analysis for elliptic problems with uncertainty
2005 (English)In: Numerische Mathematik, ISSN 0029-599X, E-ISSN 0945-3245, Vol. 101, no 2, 185-219 p.Article in journal (Refereed) Published
This work studies linear elliptic problems under uncertainty. The major emphasis is on the deterministic treatment of such uncertainty. In particular, this work uses the Worst Scenario approach for the characterization of uncertainty on functional outputs (quantities of physical interest). Assuming that the input data belong to a given functional set, eventually infinitely dimensional, this work proposes numerical methods to approximate the corresponding uncertainty intervals for the quantities of interest. Numerical experiments illustrate the performance of the proposed methodology.
Place, publisher, year, edition, pages
2005. Vol. 101, no 2, 185-219 p.
boundary-value-problems, sensitivity-analysis, verification, adaptivity, validation, domain, error
IdentifiersURN: urn:nbn:se:kth:diva-14957ISI: 000230911800001OAI: oai:DiVA.org:kth-14957DiVA: diva2:332998
QC 201005252010-08-052010-08-05Bibliographically approved